Approximating observables on eigenstates of large many-body localized systems
Eigenstates of fully many-body localized (FMBL) systems can be organized into spin algebras based on quasilocal operators called l-bits. These spin algebras define quasilocal l-bit measurement (τzi) and l-bit flip (τxi) operators. For a disordered Heisenberg spin chain in the MBL regime we approxima...
| Main Authors: | , , , |
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| Format: | Journal article |
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American Physical Society
2019
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| _version_ | 1826265724803350528 |
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| author | Kulshreshtha, A Pal, A Wahl, T Simon, S |
| author_facet | Kulshreshtha, A Pal, A Wahl, T Simon, S |
| author_sort | Kulshreshtha, A |
| collection | OXFORD |
| description | Eigenstates of fully many-body localized (FMBL) systems can be organized into spin algebras based on quasilocal operators called l-bits. These spin algebras define quasilocal l-bit measurement (τzi) and l-bit flip (τxi) operators. For a disordered Heisenberg spin chain in the MBL regime we approximate l-bit flip operators by finding them exactly on small windows of systems and extending them onto the whole system by exploiting their quasilocal nature. We subsequently use these operators to represent approximate eigenstates. We then describe a method to calculate products of local observables on these eigenstates for systems of size L in O(L2) time. This algorithm is used to compute the error of the approximate eigenstates. |
| first_indexed | 2024-03-06T20:28:09Z |
| format | Journal article |
| id | oxford-uuid:301be787-c8b3-4a05-bfc6-edec89c00457 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:28:09Z |
| publishDate | 2019 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:301be787-c8b3-4a05-bfc6-edec89c004572022-03-26T12:59:33ZApproximating observables on eigenstates of large many-body localized systemsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:301be787-c8b3-4a05-bfc6-edec89c00457Symplectic Elements at OxfordAmerican Physical Society2019Kulshreshtha, APal, AWahl, TSimon, SEigenstates of fully many-body localized (FMBL) systems can be organized into spin algebras based on quasilocal operators called l-bits. These spin algebras define quasilocal l-bit measurement (τzi) and l-bit flip (τxi) operators. For a disordered Heisenberg spin chain in the MBL regime we approximate l-bit flip operators by finding them exactly on small windows of systems and extending them onto the whole system by exploiting their quasilocal nature. We subsequently use these operators to represent approximate eigenstates. We then describe a method to calculate products of local observables on these eigenstates for systems of size L in O(L2) time. This algorithm is used to compute the error of the approximate eigenstates. |
| spellingShingle | Kulshreshtha, A Pal, A Wahl, T Simon, S Approximating observables on eigenstates of large many-body localized systems |
| title | Approximating observables on eigenstates of large many-body localized systems |
| title_full | Approximating observables on eigenstates of large many-body localized systems |
| title_fullStr | Approximating observables on eigenstates of large many-body localized systems |
| title_full_unstemmed | Approximating observables on eigenstates of large many-body localized systems |
| title_short | Approximating observables on eigenstates of large many-body localized systems |
| title_sort | approximating observables on eigenstates of large many body localized systems |
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